Differential Forms on Singular Varieties: De Rham and Hodge Theory Simplified
Differential Forms on Singular Varieties: De Rham and Hodge Theory Simplified uses complexes of differential forms to give a complete treatment of the Deligne theory of mixed Hodge structures on the cohomology of singular spaces. This book features an approach that employs recursive arguments on dimension and does not introduce spaces of higher dimension than the initial space.
This volume presents a systematic and unified treatment of Leray-Schauder continuation theorems in nonlinear analysis. In particular, fixed point theory is established for many classes of maps, such as contractive, non-expansive, accretive, and compact maps, to name but a few. This book also presents coincidence and multiplicity results.
This real-world, application-oriented outline introduces non-math majors to: linear equations and linear growth; exponential functions and geometric growth; sets; and counting. Following this material are applications using the formulas derived in topics such as: descriptive statistics; basic probability theory; graphs and networks; voting systems and apportionment; interest calculation; and systems of linear equations and games theory.
This book focuses on the algebraic-topological aspects of probability theory, leading to a wider and deeper understanding of basic theorems, such as those on the structure of continuous convolution semigroups and the corresponding processes with independent increments. The method applied within the setting of Banach spaces and of locally compact Abelian groups is that of the Fourier transform.
Added by: frufru2 | Karma: 306.02 | Non-Fiction, Science literature | 18 February 2010
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Ben Jonson, dramatist by Anne Barton
Since the Romantic period, Jonson has been an author more respected than read. Frequently compared with Shakespeare, he usually suffers unfairly from the comparison. In this book Barton gives a reading of the plays which completely re-evaluates Jonson as a dramatist. Describing in detail his experimentation with different comic styles and his changing relationship to other Elizabethan and Jacobean poets, particularly Shakespeare, she brings us closer than ever before to Jonson as a man, and as a great artist in comedy. The book proceeds play by play...